5(4x+15)-6(1-4x)=2x+8

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Solution for 5(4x+15)-6(1-4x)=2x+8 equation: 


Simplifying
5(4x + 15) + -6(1 + -4x) = 2x + 8

Reorder the terms:
5(15 + 4x) + -6(1 + -4x) = 2x + 8
(15 * 5 + 4x * 5) + -6(1 + -4x) = 2x + 8
(75 + 20x) + -6(1 + -4x) = 2x + 8
75 + 20x + (1 * -6 + -4x * -6) = 2x + 8
75 + 20x + (-6 + 24x) = 2x + 8

Reorder the terms:
75 + -6 + 20x + 24x = 2x + 8

Combine like terms: 75 + -6 = 69
69 + 20x + 24x = 2x + 8

Combine like terms: 20x + 24x = 44x
69 + 44x = 2x + 8

Reorder the terms:
69 + 44x = 8 + 2x

Solving
69 + 44x = 8 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
69 + 44x + -2x = 8 + 2x + -2x

Combine like terms: 44x + -2x = 42x
69 + 42x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
69 + 42x = 8 + 0
69 + 42x = 8

Add '-69' to each side of the equation.
69 + -69 + 42x = 8 + -69

Combine like terms: 69 + -69 = 0
0 + 42x = 8 + -69
42x = 8 + -69

Combine like terms: 8 + -69 = -61
42x = -61

Divide each side by '42'.
x = -1.452380952

Simplifying
x = -1.452380952

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